Preprints of the Keldysh Institute of Applied Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Keldysh Institute preprints:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Preprints of the Keldysh Institute of Applied Mathematics, 2023, 025, 16 pp.
DOI: https://doi.org/10.20948/prepr-2023-25
(Mi ipmp3148)
 

This article is cited in 1 scientific paper (total in 1 paper)

Bicompact schemes for the joint solution of a one-group system of quasi-diffusion equations with the energy equation

N. I. Karavaeva
References:
Abstract: High-order bicompact schemes are proposed for one of the stages of the HOLO algorithm for solving the radiative transport equation and implemented. The system of quasi-diffusion equations is solved together with the energy equation. The schemes have a fourth-order approximation in space on a two-point stencil, integration over time is carried out using the diagonal-implicit Runge–Kutta method of the third order of approximation, each stage of the method can be represented as an implicit Euler method. It is proposed to organize an iterative process to find a solution, since the coefficients of the system are non-linear functions of temperature. The schemes are used for a number of analytical tests, the convergence in time and space with the declared orders is shown.
Keywords: transport equation, quasi-diffusion method, HOLO algorithms for transport equation solving, diagonally implicit Runge-Kutta method.
Document Type: Preprint
Language: Russian
Citation: N. I. Karavaeva, “Bicompact schemes for the joint solution of a one-group system of quasi-diffusion equations with the energy equation”, Keldysh Institute preprints, 2023, 025, 16 pp.
Citation in format AMSBIB
\Bibitem{Kar23}
\by N.~I.~Karavaeva
\paper Bicompact schemes for the joint solution of a one-group system of quasi-diffusion equations with the energy equation
\jour Keldysh Institute preprints
\yr 2023
\papernumber 025
\totalpages 16
\mathnet{http://mi.mathnet.ru/ipmp3148}
\crossref{https://doi.org/10.20948/prepr-2023-25}
Linking options:
  • https://www.mathnet.ru/eng/ipmp3148
  • https://www.mathnet.ru/eng/ipmp/y2023/p25
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Препринты Института прикладной математики им. М. В. Келдыша РАН
    Statistics & downloads:
    Abstract page:55
    Full-text PDF :17
    References:14
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024